While it possesses many desirable structural properties, the estimation of high-dimensional MI from samples suffers from the curse of dimensionality.

While this could be done using thesynthesis formulation, we demonstrate that this leads to slower performances. The main difficulty inapplying suchmethods intheanalysisformulation liesinproposing a way to compute the derivatives through the proximal operator.

Emergent phenomena -- onset of epileptic seizures, sudden customer churn, or pandemic outbreaks -- often arise from hidden causal interactions in complex systems. We propose a machine learning method for their early detection that addresses a core challenge: unveiling and harnessing a system's latent causal structure despite the data-generating process being unknown and partially observed. The method learns an optimal feature representation from a one-parameter family of estimators -- powers of the empirical covariance or precision matrix -- offering a principled way to tune in to the underlying structure driving the emergence of critical events. A supervised learning module then classifies the learned representation. We prove structural consistency of the family and demonstrate the empirical soundness of our approach on seizure detection and churn prediction, attaining competitive results in both. Beyond prediction, and toward explainability, we ascertain that the optimal covariance power exhibits evidence of good identifiability while capturing structural signatures, thus reconciling predictive performance with interpretable statistical structure.

Clear, reliable audio is no longer optional, say Genevieve Juillard, CEO of IDC, and Chris Schyvinck, president and CEO at Shure. When business leaders talk about digital transformation, their focus often jumps straight to cloud platforms, AI tools, or collaboration software. Yet, one of the most fundamental enablers of how organizations now work, and how employees experience that work, is often overlooked: audio. As Genevieve Juillard, CEO of IDC, notes, the shift to hybrid collaboration made every space, from corporate boardrooms to kitchen tables, meeting-ready almost overnight. In the scramble, audio quality often lagged, creating what research now shows is more than a nuisance. Poor sound can alter how speakers are perceived, making them seem less credible or even less trustworthy. Audio is the gatekeeper of meaning," stresses Julliard. "If people can't hear clearly, they can't understand you. And if they can't understand you, they can't trust you, and they can't act on what you said. And no amount of sharp video can fix that. For Shure, which has spent a century advancing sound technology, the implications extend far beyond convenience.

This technical note considers the sampling of outcomes that provide the greatest amount of information about the structure of underlying world models. This generalisation furnishes a principled approach to structure learning under a plausible set of generative models or hypotheses. In active inference, policies - i.e., combinations of actions - are selected based on their expected free energy, which comprises expected information gain and value. Information gain corresponds to the KL divergence between predictive posteriors with, and without, the consequences of action. Posteriors over models can be evaluated quickly and efficiently using Bayesian Model Reduction, based upon accumulated posterior beliefs about model parameters. The ensuing information gain can then be used to select actions that disambiguate among alternative models, in the spirit of optimal experimental design. We illustrate this kind of active selection or reasoning using partially observed discrete models; namely, a 'three-ball' paradigm used previously to describe artificial insight and 'aha moments' via (synthetic) introspection or sleep. We focus on the sample efficiency afforded by seeking outcomes that resolve the greatest uncertainty about the world model, under which outcomes are generated.

From predictive analytics to personalized fan experiences, data and AI are powering the next generation of motorsport, says Rohit Agnihotri, principal technologist at Infosys, and Dan Cherowbrier, CTIO of Formula E. When the ABB FIA Formula E World Championship launched its first race through Beijing's Olympic Park in 2014, the idea of all-electric motorsport still bordered on experimental. Batteries couldn't yet last a full race, and drivers had to switch cars mid-competition. Just over a decade later, Formula E has evolved into a global entertainment brand broadcast in 150 countries, driving both technological innovation and cultural change in sport. Gen4, that's to come next year, says Dan Cherowbrier, Formula E's chief technology and information officer. You will see a really quite impressive car that starts us to question whether EV is there. Formula E's digital transformation, powered by its partnership with Infosys, is redefining what it means to be a fan. "It's a movement to make motor sport accessible and exciting for the new generation," says principal technologist at Infosys, Rohit Agnihotri. From real-time leaderboards and predictive tools to personalized storylines that adapt to what individual fans care most about--whether it's a driver rivalry or battery performance--Formula E and Infosys are using AI-powered platforms to create fan experiences as dynamic as the races themselves. Technology is not just about meeting expectations; it's elevating the entire fan experience and making the sport more inclusive, says Agnihotri. AI is also transforming how the organization itself operates. Historically, we would be going around the company, banging on everyone's doors and dragging them towards technology, making them use systems, making them move things to the cloud, Cherowbrier notes.